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J.Stat.Mech.(2008)P11007 ournal of Statistical Mechanics

Summary: J.Stat.Mech.(2008)P11007
ournal of Statistical Mechanics:
An IOP and SISSA journalJ Theory and Experiment
The fluctuation theorem for currents in
semi-Markov processes
David Andrieux and Pierre Gaspard
Center for Nonlinear Phenomena and Complex Systems, Universit´e Libre de
Bruxelles, Code Postal 231, Campus Plaine, B-1050 Brussels, Belgium
E-mail: dandrieu@ulb.ac.be and gaspard@ulb.ac.be
Received 22 September 2008
Accepted 22 October 2008
Published 11 November 2008
Online at stacks.iop.org/JSTAT/2008/P11007
Abstract. The fluctuation theorem for currents in semi-Markov processes
satisfying the condition of direction­time independence is proved. The
thermodynamic affinities as well as the corresponding fluctuating currents are
defined using graph theory and the cyclic representation of the process. The
fluctuation theorem is obtained by demonstrating a fundamental symmetry
property for the evolution operator of the process. This fundamental symmetry


Source: Andrieux, David - Service de Physique Non-Linéaire and Mécanique Statistique, Université Libre de Bruxelles


Collections: Physics; Biology and Medicine